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Pith Number

pith:M65RGWYW

pith:2011:M65RGWYWYCKZJ4LVYCCLKW4KJH
not attested not anchored not stored refs pending

Self-consistent theory of intrinsic localized modes: application to monatomic chain

A. Shelkan, M. Klopov, V. Hizhnyakov

arxiv:1103.5333 v1 · 2011-03-28 · nlin.PS · math.DS · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M65RGWYWYCKZJ4LVYCCLKW4KJH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:02:44.293327Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

67bb135b16c09594f175c084b55b8a49e36dbd9a7878c4f3eb2bbdcea4883b99

Aliases

arxiv: 1103.5333 · arxiv_version: 1103.5333v1 · doi: 10.48550/arxiv.1103.5333 · pith_short_12: M65RGWYWYCKZ · pith_short_16: M65RGWYWYCKZJ4LV · pith_short_8: M65RGWYW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M65RGWYWYCKZJ4LVYCCLKW4KJH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 67bb135b16c09594f175c084b55b8a49e36dbd9a7878c4f3eb2bbdcea4883b99
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a6348fd2d66088451ba8e037de38604468931b526ae676e5f4d6351c5e91e3c3",
    "cross_cats_sorted": [
      "math.DS",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-03-28T11:36:38Z",
    "title_canon_sha256": "2be176fd9c517b6d60433a1ecc6b5851cbc41101d06d4df45cfc4994f42ab9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5333",
    "kind": "arxiv",
    "version": 1
  }
}